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Deduce the addition theorems for trigonometric functions:
cos (x ± y) = cosx cosy sinx siny;
sin (x ± y) = sinx cosy ± cosx siny
as the simplest consequence of the representation of a complex plane's rotational group.© BrainMass Inc. brainmass.com March 4, 2021, 5:44 pm ad1c9bdddf
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It is known that a set of turnings of a pane around coordinates origin by various angles has a structure of Abel's group, where composition of consequent counterclockwise turns by angles and ...
Addition theorems for trigonometric functions are deduced. Trigonometric functions are analyzed. The solution is detailed and well presented.